1008462072 has 32 divisors (see below), whose sum is σ = 2522033280. Its totient is φ = 336036960.

The previous prime is 1008462067. The next prime is 1008462079. The reversal of 1008462072 is 2702648001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008462079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88797 + ... + 99507.

It is an arithmetic number, because the mean of its divisors is an integer number (78813540).

Almost surely, 2^1008462072 is an apocalyptic number.

1008462072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008462072 is an abundant number, since it is smaller than the sum of its proper divisors (1513571208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008462072 is a wasteful number, since it uses less digits than its factorization.

1008462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14643 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1008462072 is about 31756.2918490179. The cubic root of 1008462072 is about 1002.8127715649.

The spelling of 1008462072 in words is "one billion, eight million, four hundred sixty-two thousand, seventy-two".